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Finding the Fourth Proportional to 4,648.60, 6,414.89 and 2,880.17

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Solution

The fourth proportional to 4,648.60, 6,414.89 and 2,880.17 is: 3,974.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.60 : 6,414.89 = 2,880.17 : x
  2. Step 2: Convert to fraction form
    4,648.60/6,414.89 = 2,880.17/x
  3. Step 3: Cross multiply
    4,648.60x = 6,414.89 × 2,880.17
  4. Step 4: Simplify right side
    4,648.60x = 18,475,973.73
  5. Step 5: Solve for x
    x = 18,475,973.73/4,648.60
  6. Step 6: Final answer
    x = 3,974.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.